4560965856 has 72 divisors (see below), whose sum is σ = 13063672440. Its totient is φ = 1509371136.

The previous prime is 4560965837. The next prime is 4560965873. The reversal of 4560965856 is 6585690654.

4560965856 is a `hidden beast` number, since 4 + 56 + 0 + 9 + 6 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16935 + ... + 96998.

It is an arithmetic number, because the mean of its divisors is an integer number (181439895).

Almost surely, 2^4560965856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4560965856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531836220).

4560965856 is an abundant number, since it is smaller than the sum of its proper divisors (8502706584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4560965856 is a wasteful number, since it uses less digits than its factorization.

4560965856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114088 (or 114077 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The square root of 4560965856 is about 67534.9232323544. The cubic root of 4560965856 is about 1658.3859397053.

The spelling of 4560965856 in words is "four billion, five hundred sixty million, nine hundred sixty-five thousand, eight hundred fifty-six".